FIITJEE Admission Test
for students soon going to
Class 11
PAPER - 1
Time: 3 hours
Maximum Marks: 270
Instructions:
1.
You are advised to devote 1 Hour on Section - I and 2 Hours on Section - II.
2.
This Question Paper consists of 2 sections. All questions will be multiple choice single correct
out of four choices with marking scheme in table below:
Question
No.
Section
SECTION – I
(IQ)
Physics
Chemistry
Mathematics
SECTION – II
(PCM)
Marking Scheme for each
question
Correct
Wrong
answer
answer
Q. 1 to 30
+3
–1
Q. 31 to 50
Q. 51 to 70
Q. 71 to 90
+3
+3
+3
–1
–1
–1
3.
Answers have to be marked on the OMR sheet.
4.
The Question Paper contains blank spaces for your rough work. No additional sheets will be
provided for rough work.
5.
Blank papers, clip boards, log tables, slide rule, calculator, cellular phones, pagers and
electronic devices, in any form, are not allowed.
6.
Before attempting paper write your Name, Registration Number and Test Centre in the
space provided at the bottom of this sheet.
Registration Number :
Name of Candidate
: _______________________________________________________________
Test Centre
: _______________________________________________________________
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website: www.fiitjee.com
Sample Paper (AT)-2014-15-IQ+PCM-C-XI-Paper-1-2
Section – I
IQ
Directions (Q. 1 to 2): Find the odd one out:
1.
(A) Bucket
(C) Sack
(B) Bowl
(D) Canister
2.
(A) Now
(C) After
(B) Then
(D) Again
3.
What should come in place of question mark(?) in the following series?
ATTRIBUTION, TTRIBUTIO, RIBUTIO, IBUTI, ?
(A) BUT
(B) UTI
(C) UT
(D) IBU
4.
What should come in the blank space in the following series?
M, N, O, L, R, I, V, ____
(A) E
(B) H
(C) Z
(D) F
5.
25th June 542695283217 A.D. is Dooms day. Which weekday falls on that day?
(A) Sunday
(B) Monday
(C) Friday
(D) Wednesday
6.
If REQUEST is coded as S2R52TU in certain code, how will ACID be written in that code?
(A) BDJE
(B) 1D3E
(C) 1C94
(D) 1E79
7.
Pointing to Priti, father of Rishu says, “She is the daughter of the daughter of the wife of the only
son of the grand father of my sister. “How is Sukriti related to Priti if Sukriti is the sister of Rishu’s
father?
(A) Aunt
(B) Mother
(C) Niece
(D) Can’t say
8.
A person moves towards North a distance of 30 m. He turns 135° in clockwise direction and
goes 50 2 m . From here he turns 135° clockwise and goes 35 m. How far is he from initial point?
(A) 25 m
(B) 20 m
(C) 15 m
(D) 30 m
9.
Ram wants to go to the school. He starts from his home which is in the East and comes to a
crossing. The road to the left ends in a theatre; straight ahead is the temple. In which direction is
the school?
(A) North
(B) South
(C) East
(D) West
Space for rough work
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Sample Paper (AT)-2014-15-IQ+PCM-C-XI-Paper-1-3
10.
If a cube is to be painted with Red and Blue colour such that each face should get exactly one
colour then in how many ways this cube can be painted?
6
2
(A) 2
(C) 12
(B) 6
(D) 10
11.
If a cube is painted with Red, Blue and Green on two adjacent faces each colour and then it is cut
into 343 smaller cubes by minimum number of cuts, then the number of smaller cubes, with all
three colours will be
(A) 2
(B) 8
(C) 12
(D) 6
12.
In previous question (Q. No. 11) the number of smaller cubes with exactly 1 colour on them will
be
(A) 150
(B) 165
(C) 125
(D) None of these
Directions: (Q. 13 to 15): In the following questions, the symbols @, #, $, %, x are used with the
following meanings as illustrated below :
‘A @ B’ means ‘A is not greater than B’.;
‘A # B’ means ‘A is greater than or equal to B’;
‘A $ B’ means ‘A is neither greater than nor less than B’;
‘A % B’ means ‘A is less than B’;
‘A x B’ means ‘A is neither less than nor equal to B’;
Now, in each of the following questions, assuming the given statements to be true, find which of
the following conclusions I, II and III given below them is/are definitely true.
13.
14.
15.
Statements: K @ L, L % N, E # N
Conclusions:
I. K % E
II. E x L
III. N x K
(A) Only I and II are true
(C) Only I and III are true
(B) Only II and III are true
(D) All are true
Statements: D $ T, T x P, M @ P
Conclusions:
I. D x M
II. M % T
III. D # P
(A) Only I is true
(C) All are true
(B) Only I and II are true
(D) Only I and III are true
Statements: T # R, R % L, L x K
Conclusions: I. T % L
II. K x R
(A) Only I is true
(C) Only I and III are true
III. T # K
(B) Only I and II are true
(D) none is true
Space for rough work
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Sample Paper (AT)-2014-15-IQ+PCM-C-XI-Paper-1-4
Directions (Q. 16 to 19): There is a letter/number series from which some of the letters/numbers are
missing. The missing letters/numbers are given in proper sequence in one of the alternatives among the
four given under each question.
16.
17.
18.
19.
7, 15, 47, 191, ?
(A) 385
(C) 959
(B) 767
(D) 1009
2 4
11 16
, ,?, ,
3 7
21 31
5
(A)
9
7
(C)
13
6
11
9
(D)
17
(B)
ejo tyd ins xch ?
(A) nrw
(C) msx
(B) mrw
(D) nsx
Z1A, X2D, V6G, T21J, R88M, P445P, ?
(A) N2676S
(C) N2667S
(B) N2766S
(D) none of these
Directions (Q. 20 to 24): In each of the following questions, select the alternative figure which is
embedded in the given figure (x):
20.
(x)
A
B
C
D
(x)
A
B
C
D
21.
Space for rough work
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Sample Paper (AT)-2014-15-IQ+PCM-C-XI-Paper-1-5
22.
(x)
A
B
C
D
(x)
A
B
C
D
(x)
A
B
C
D
23.
24.
25.
At what time between 5:30 and 6 will the hands of a clock be at right angles?
5
7
(A) 43 min.past 5
(B) 43 min.past 5
11
11
(C) 40min.past 5
(D) 45 min past 5
Directions (Q. 26 to 30): Read the following information and answer the following questions :
(i) There is a group of five people – A, B, C, D and E.
(ii) In the group, there are three professors, specialists in Philosophy, Psychology and Economics.
(iii) A and D are unmarried ladies and are not specialist in any subject.
(iv) In the group there is a married couple and E is the husband.
(v) B is the brother of C, and he is neither a Psychologist nor an Economist.
(vi) Professor specialist in Psychology is also a lady.
26.
Who is E’s wife?
(A) A
(C) C
(B) B
(D) D
27.
Which of the following group consists of all the males?
(A) ABC
(B) BCD
(C) BC
(D) BE
28.
Who is professor of Philosophy?
(A) A
(C) C
(B) B
(D) E
Who is professor of Economics?
(A) A
(C) E
(B) B
(D) C
29.
30.
Which of the statements given above is superfluous?
(A) none of these
(B) (i)
(C) (iii)
(D) (vi)
Space for rough work
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Sample Paper (AT)-2014-15-IQ+PCM-C-XI-Paper-1-6
Section – II
PCM
PHYSICS
31.
S.I. unit of magnetic field is
(A) Weber
(C) Tesla
(B) Weber-m
(D) Tesla-m
32.
The resistivity of a wire
(A) Increases with the length of the wire
(B) Decreases with the area of cross-section
(C) Decreases with the length and increases with the cross-section of wire
(D) None of the above statement is correct
33.
A coil develops heat of 800 cal/sec when 20 volts is applied across its ends. The resistance of the
coil is (1 cal = 4.2 joule)
(A) 1.2 
(B) 1.4 
(C) 0.12 
(D) 0.14 
34.
The electrolyte used in Lechlanche cell is
(A) Copper sulphate solution
(C) Dilute sulphuric acid
35.
(B) Ammonium chloride solution
(D) Zinc sulphate
The magnetic induction at a point P which is at a distance 4cm from a long current carrying wire
is 10-8 tesla. The field of induction at a distance 12cm from the same current would be
(A) 3.33  10 9 tesla
(B) 1.11 104 tesla
(C) 3  103 tesla
(D) 9  102 tesla
Space for rough work
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Sample Paper (AT)-2014-15-IQ+PCM-C-XI-Paper-1-7
36.
Which of the following graphs shows the variation of magnetic induction B with distance r from a
long wire carrying current
B
B
(A)
(B)
r
r
B
B
(C)
(D)
r
r
o
o
37.
For a colour of light the wavelength in air is 6000 A and in water the wavelength is 4500 A . Then
the speed of light in water will be
(A) 5.0  1014 m / s
(B) 2.25  108 m / s
(C) 4.0  108 m / s
(D) Zero
38.
Which one of the following is not associated with total internal reflection
(A) The mirage formation
(B) Optical fiber communication
(C) The glittering of diamond
(D) Dispersion of light
39.
The specific resistance of a wire is  ,its volume is 3m 3 and its resistance is 3 ohm, then its length
will be
3
1
(A)
(B)


(C)
1
3

(D) 
1
3
Space for rough work
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Sample Paper (AT)-2014-15-IQ+PCM-C-XI-Paper-1-8
40.
Dimensions of a block are 1cm  1cm  100cm . If specific resistance of its material is
3  107 ohm  m, then the resistance between the opposite rectangular faces is
(A) 3  10 9 ohm
(B) 3  10 7 ohm
5
(C) 3  10 ohm
(D) 3  10 3 ohm
41.
When two resistances R1 and R2 are connected in series, they consume 12W power. When they
are connected in parallel, they consume 50 W power. What is the ratio of the powers of R1 and R2
1
(A)
(B) 4
4
3
(C)
(D) 3
2
42.
When a magnetic field is applied in a direction perpendicular to the direction of cathode rays, then
their
(A) Energy decreases
(B) Energy increases
(C) Momentum increases
(D) Magnitude of momentum and energy remain unchanged
43.
Circular loop of a wire and a long straight wire carry currents lc and
le, respectively as shown in figure. Assuming that these are placed in
the same plane. The magnetic fields will be zero at the centre of the
loop when the separation H is
lR
lR
(A) e
(B) c
lc 
le 
(C)
44.
lc
leR
(D)
le 
lcR
A current carrying circular loop is freely suspended by a long thread. The plane of the loop will
point in the direction
(A) Wherever left free
(B) North-south
(C) East-west
(D) At 45o with the east-west direction
Space for rough work
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Sample Paper (AT)-2014-15-IQ+PCM-C-XI-Paper-1-9
45.
Two mirrors at an angle  produce 5 images of a point. The number of images produced when
o
 is decreased to 30 is
(A) 9
(B) 10
(C) 11
(D) 12
46.
What will be the height of image when an object of 2mm is placed on the axis of a convex mirror
of radius of curvature 40 cm at a distance of 20 cm.
(A) 20 mm
(B) 10 mm
(C) 6 mm
(D) 1 mm
47.
If the critical angle for total internal reflection from a medium to vacuum is 30o, the velocity of light
in the medium is
(A) 3  108 m / s
(B) 1.5  108 m / s
(C) 6  108 m / s
(D) 3  108 m / s
48.
A lens of refractive index n is put in a liquid of refractive index n. If focal length of lens in air is f,
its focal length in liquid will be
f  n' n 
fn'  n  1
(A) 
(B) 
n' n
n'(n  1)
n'(n  1)
fn'n
(C) 
(D)
f(n' n)
n  n'
49.
A ray of light is incident normally on one of the face of a prism of angle 30o and refractive index
2 . The angle of deviation will be
(A) 26o
(B) 0o
o
(C) 23
(D) 15o
50.
A ray of light passes through the equilateral prism such that angle of incidence is equal to the
angle of emergence if the angle of incidence is 45o. The angle of deviation will be
(A) 15o
(B) 75o
o
(C) 60
(D) 30o
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Sample Paper (AT)-2014-15-IQ+PCM-C-XI-Paper-1-10
CHEMISTRY
51.
Which of the following metals will give H2 on reaction with NaOH ?
(A) Be
(B) Ba
(C) Ca
(D) K
52.
1 mole of H3PO3 is neutralised by….. mole/s of NaOH
(A) 6
(B) 3
(C) 2
(D) 1
53.
The conjugate base of H2PO 4  is
(A) H3PO4
(B) HPO42
(C) PO 43
(D) H3PO3
54.
If 30 ml of H2 and 20 ml of O2 react to form water. What is left at the end of the reaction?
(A) 10 ml of H2
(B) 5 ml of H2
(C) 10 ml of O2
(D) 5 ml of O2
55.
The value of n in the following equation is: Cr2 O72  14H  ne   2Cr 3  7H2 O
(A) 2
(B) 3
(C) 4
(D) 6
56.
What is the normality of 0.3 M H3PO4, when it undergoes the reaction as:
H3PO4  2OH  HPO32  2H2 O
(A) 0.3N
(B) 0.15N
(C) 0.6N
(D) 0.9N
57.
The metals present in insulin, haemoglobin and vitamin B12 are respectively
(A) Zn, Hg, Cr
(B) Co, Fe, Zn
(C) Mg, Fe, Co
(D) Zn, Fe, Co
58.
In the compound CH2=CHCH2CH2C  CH the bond between c-2 and c-3 is of the type
(A) sp-sp2
(B) sp3-sp3
3
(C) sp-sp
(D) sp2-sp3
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Sample Paper (AT)-2014-15-IQ+PCM-C-XI-Paper-1-11
59.
Which of the following compounds has the highest boiling point?
(A) Ethane
(B) Butane
(C) 2- Butanol
(D) Pentane
60.
In the molecule CH3  C  CCH  CH2 , the maximum number of carbon atoms arranged linearly
is
(A) 2
(B) 3
(C) 4
(D) 5
61.
Percentage of lead in lead pencil is:
(A) Zero
(C) 80
(B) 20
(D) 70
o
62.
Lime is heated with coke at 2000 C. The organic product is treated with water to liberate
(A) CO
(B) C2H2
(C) C2H4
(D) CH4
63.
Acetylene does not react with
(A) Na
(C) HCl
(B) ammoniacal AgNO3
(D) NaOH
Nitrogen is an essential constituent of
(A) Fats and carbohydrates
(C) Proteins and amino acids
(B) Carbohydrates and enzymes
(D) Vitamin A and Vitamin B
The substance not likely to contain CaCO3 is:
(A) Bauxite
(C) Marble statue
(B) sea shell
(D) Limestone
64.
65.
66.
Which of the following pairs contains amphoteric oxides?
(A) BeO, BaO
(B) BeO, Al2O3
(C) Al2O3 , P2O5
(D) CuO, Na2O
67.
Bleaching powder is prepared from the reaction of:
(A) Slaked lime and chlorine
(B) Quick lime and chlorine
(C) Burnt lime and chlorine
(D) Calcium and chlorine
Space for rough work
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Sample Paper (AT)-2014-15-IQ+PCM-C-XI-Paper-1-12
68.
Swimming pools are disinfected by bubbling through water a controlled quantity of:
(A) Br2
(B) N2
(C) Cl2
(D) O2
69.
The Strongest of the following acids is:
(A) HCl
(C) HClO4
(B) CH3COOH
(D) HF
BF3 is a :
(A) Bronsted acid
(C) Lewis acid
(B) Bronsted base
(D) Lewis base
70.
MATHEMATICS
71.
3.27 is
(A) an integer
(C) a natural number
(B) a rational number
(D) an irrational number
72.
If the sum of LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF,
then the product of two numbers is
(A) 203400
(B) 194400
(C) 198400
(D) 205400
73.
The value of k for which the system of equations
2x  3y  5
4x  ky  10
has infinite number of solutions, is
(A) 1
(B) 3
(C) 6
(D) 0
74.
The area of the triangle formed by the lines y=x, x=6 and y=0 is
(A) 36 sq.units
(B) 18 sq.units
(C) 9 sq.units
(D) 72 sq.units
Space for rough work
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Sample Paper (AT)-2014-15-IQ+PCM-C-XI-Paper-1-13
75.
In a ABC, AD is the bisector of BAC , If AB=6cm , AC=5cm and BD=3, then DC=
(A) 11.3cm
(B) 2.5cm
(C) 3:5cm
(D) None of these.
76.
If x sin(90o  )cot(90o  )  cos(90o  ), then x =
(A) 0
(B) 1
(C) -1
(D) 2
77.
tan5o  tan30o  4 tan85o is equal to
4
(A)
3
(C) 1
(B) 4 3
(D) 4
78.
The mean of n observations is x . If the first observation is increased by 1, the second by 2, the
third by 3, and so no, then the new mean is
n 1
(A) x  (2n  1)
(B) x 
2
n1
(C) x  (n  1)
(D) x 
2
79.
If one zero of the polynomial f(x)  (k 2  4)x 2  13x  4k is reciprocal of the other, then k
(A) 2
(B) -2
(C) 1
(D) -1
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Sample Paper (AT)-2014-15-IQ+PCM-C-XI-Paper-1-14
80.
If the given diagram shows the graph of the polynomial f(x)  ax 2  bx  c, then
f  x   ax 2  bx  c
x'
y
O
x
 b D 
 ,

2a 4a 
y' 
(A) a  0,b  0 and c  0
(C) a  0,b  0 and c  0
(B) a  0,b  0 and c  0
(D) a  0,b  0 and c  0
81.
What should be added to the polynomial x 2  5x  4 ,so that 3 is the zero of the resulting
polynomial?
(A) 1
(B) 2
(C) 4
(D) 5
82.
The area of the triangle formed by the line
(A) ab
1
(C) ab
2
83.
x y
  1 with the coordinate axes is
a b
(B) 2ab
1
(D) ab
4
In a ABC, A  900 , AB  5cm and AC=12 cm. If AD  BC then AD=
13
60
(A)
cm
(B)
cm
2
13
(C)
13
cm
60
(D)
2 15
cm
13
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Sample Paper (AT)-2014-15-IQ+PCM-C-XI-Paper-1-15
84.
If ABC is an isosceles triangle and D is a point on BC such that AD  BC , then
(A) AB2-AD2=BD.DC
(B) AB2-AD2 =BD2-DC2
2
2
(C) AB +AD =BD.DC
(D) AB2+AD2=BD2-DC2
85.
In an equilateral triangle ABC if AD  BC , then
(A) 5AB 2 = 4AD2
(B) 3AB2 = 4AD2
2
2
2
2
(C) 4AB = 3AD
(D) 2AB = 3AD
86.
If 5 and 4 are acute angles satisfying sin5  cos 4 , then 2sin3  3 tan3 is equal to
(A) 1
(B) 0
(C) -1
(D) 1  3
87.
The value of (1  cot   cosec)(1  tan   sec ) is
(A) 1
(B) 2
(C) 4
(D) 0
88.
If a cos   b sin   c ,then a sin   b cos  
89.
90.
(A)  a2  b2  c 2
(B)  a2  b2  c 2
(C)  c 2  a2  b2
(D) None of these
xi  25
,  fiui  20,  fi  100, then x 
10
(A) 23
(C) 27
(B) 24
(D) 25
If ui 
If the sum of the roots of the equation x 2  (k  6)x  2(2k  1)  0 is equal to half of their product,
then k =
(A) 6
(B) 7
(C) 1
(D) 5
Space for rough work
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Sample Paper (AT)-2014-15-IQ+PCM-C-XI-Paper-1-16
FIITJEE Admission Test
for students soon going to
Class 11
PAPER - 1
ANSWER KEYS
SECTION – I (IQ)
1.
5.
9.
13.
17.
21.
25.
29.
C
A
A
D
C
C
B
C
2.
6.
10.
14.
18.
22.
26.
30.
D
B
D
B
B
C
C
A
3.
7.
11.
15.
19.
23.
27.
B
D
A
D
A
C
D
4.
8.
12.
16.
20.
24.
28.
A
A
B
C
A
B
B
32.
36.
40.
44.
48.
D
C
B
C
A
33.
37.
41.
45.
49.
C
B
C
C
D
34.
38.
42.
46.
50.
B
D
D
D
D
52.
56.
60.
64.
68.
C
C
A
C
C
53.
57.
61.
65.
69.
B
D
A
A
C
54.
58.
62.
66.
70.
D
D
B
B
C
B
B
A
A
B
73.
77.
81.
85.
89.
C
A
B
B
C
74.
78.
82.
86.
90.
B
B
C
B
B
SECTION – II (PHYSICS)
31.
35.
39.
43.
47.
C
A
B
A
B
SECTION – II (CHEMISTRY)
51.
55.
59.
63.
67.
A
D
C
D
A
SECTION – II (MATHEMATICS)
71.
75.
79.
83.
87.
B
B
A
B
B
72.
76.
80.
84.
88.
FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942
website: www.fiitjee.com